DYNAMICS OF FRACTIONAL-ORDER EPIDEMIC MODELS WITH GENERAL NONLINEAR INCIDENCE RATE AND TIME-DELAY

Kashkynbayev, Ardak; Rihan, Fathalla A.

dc.contributor.author	Kashkynbayev, Ardak
dc.contributor.author	Rihan, Fathalla A.
dc.date.accessioned	2021-12-23T05:58:39Z
dc.date.available	2021-12-23T05:58:39Z
dc.date.issued	2021-08-03
dc.identifier.citation	Kashkynbayev, A., & Rihan, F. A. (2021). Dynamics of Fractional-Order Epidemic Models with General Nonlinear Incidence Rate and Time-Delay. In Mathematics (Vol. 9, Issue 15, p. 1829). MDPI AG. https://doi.org/10.3390/math9151829	en_US
dc.identifier.issn	2227-7390
dc.identifier.uri	https://doi.org/10.3390/math9151829
dc.identifier.uri	https://www.mdpi.com/2227-7390/9/15/1829
dc.identifier.uri	http://nur.nu.edu.kz/handle/123456789/5960
dc.description.abstract	Abstract: In this paper, we study the dynamics of a fractional-order epidemic model with general nonlinear incidence rate functionals and time-delay. We investigate the local and global stability of the steady-states. We deduce the basic reproductive threshold parameter, so that if R0 < 1, the disease-free steady-state is locally and globally asymptotically stable. However, for R0 > 1, there exists a positive (endemic) steady-state which is locally and globally asymptotically stable. A Holling type III response function is considered in the numerical simulations to illustrate the effectiveness of the theoretical results. Keywords: epidemic model; fractional calculus; global stability; lyapunov functionals; time-delay	en_US
dc.language.iso	en	en_US
dc.publisher	MDPI AG	en_US
dc.relation.ispartofseries	Mathematics;Volume 9, Issue 15, 10.3390/math9151829
dc.rights	Attribution-NonCommercial-ShareAlike 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/3.0/us/	*
dc.subject	epidemic model	en_US
dc.subject	fractional calculus	en_US
dc.subject	global stability	en_US
dc.subject	lyapunov functionals	en_US
dc.subject	time-delay	en_US
dc.subject	Type of access: Open Access	en_US
dc.title	DYNAMICS OF FRACTIONAL-ORDER EPIDEMIC MODELS WITH GENERAL NONLINEAR INCIDENCE RATE AND TIME-DELAY	en_US
dc.type	Article	en_US
workflow.import.source	science